48513600 has 168 divisors, whose sum is σ = 177007520. Its totient is φ = 12925440.

The previous prime is 48513581. The next prime is 48513617. The reversal of 48513600 is 631584.

48513600 is a `hidden beast` number, since 4 + 8 + 51 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42639 + ... + 43761.

Almost surely, 2^48513600 is an apocalyptic number.

48513600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88503760).

48513600 is an abundant number, since it is smaller than the sum of its proper divisors (128493920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48513600 is a wasteful number, since it uses less digits than its factorization.

48513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 48513600 is about 6965.1704932471. The cubic root of 48513600 is about 364.7157353850.

The spelling of 48513600 in words is "forty-eight million, five hundred thirteen thousand, six hundred".